What is the Greatest Common Factor of 63224 and 63231?

Greatest common factor (GCF) of 63224 and 63231 is 7.

GCF(63224,63231) = 7

We will now calculate the prime factors of 63224 and 63231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63224 and 63231.

How to find the GCF of 63224 and 63231?

We will first find the prime factorization of 63224 and 63231. After we will calculate the factors of 63224 and 63231 and find the biggest common factor number .

Step-1: Prime Factorization of 63224

Prime factors of 63224 are 2, 7, 1129. Prime factorization of 63224 in exponential form is:

63224 = 2³ × 7¹ × 1129¹

Step-2: Prime Factorization of 63231

Prime factors of 63231 are 3, 7, 3011. Prime factorization of 63231 in exponential form is:

63231 = 3¹ × 7¹ × 3011¹

Step-3: Factors of 63224

List of positive integer factors of 63224 that divides 63224 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1129, 2258, 4516, 7903, 9032, 15806, 31612

Step-4: Factors of 63231

List of positive integer factors of 63231 that divides 63224 without a remainder.

1, 3, 7, 21, 3011, 9033, 21077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63224 and 63231. The biggest common factor number is the GCF number.
So the greatest common factor 63224 and 63231 is 7.

Also check out the Least Common Multiple of 63224 and 63231